84848601600 has 960 divisors, whose sum is σ = 361152718080. Its totient is φ = 19349176320.

The previous prime is 84848601589. The next prime is 84848601611. The reversal of 84848601600 is 610684848.

84848601600 is a `hidden beast` number, since 8 + 4 + 8 + 486 + 0 + 160 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84848601589) and next prime (84848601611).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195954984 + ... + 195955416.

It is an arithmetic number, because the mean of its divisors is an integer number (376200748).

Almost surely, 2^84848601600 is an apocalyptic number.

84848601600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84848601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180576359040).

84848601600 is an abundant number, since it is smaller than the sum of its proper divisors (276304116480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84848601600 is an frugal number, since it uses more digits than its factorization.

84848601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 84848601600 in words is "eighty-four billion, eight hundred forty-eight million, six hundred one thousand, six hundred".